The Steepest Descent Algorithm in Wasserstein Metric for the Sandpile Model of Self-Organized Criticality

DOI10.1137/16M1069420zbMath1372.35125MaRDI QIDQ2960501

Viorel Barbu

Publication date: 9 February 2017

zbMATH Keywords

variational problemprobability measure\(m\)-accretiveWasserstein distancesandpile model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Variational methods applied to PDEs (35A15) Diffusion processes (60J60) Theoretical approximation in context of PDEs (35A35) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory
• Constrained steepest descent in the 2-Wasserstein metric
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• Self-organized criticality
• The Variational Formulation of the Fokker--Planck Equation
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
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